[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
           Subclass Holocephali Bonaparte, 1832
             Superorder Holocephalimorpha Lund, 1986
               Cochliodontomorpha
                 Chimaerimorpha [monotypic]
                   Order Chimaeriformes Obruchev, 1953 - chimaeras
                     Suborder Chimaeroidei Patterson, 1965 - chimaeras
                       1 Family Callorhinchidae Garman, 1901 - plownose chimaeras
                       2 Family Rhinochimaeridae Garman, 1901 - longnose chimaeras
                       3 Family Chimaeridae Rafinesque, 1815 - shortnose chimaeras